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Finding the Fourth Proportional to 1,014.74, 1,519.01 and 649.88

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Solution

The fourth proportional to 1,014.74, 1,519.01 and 649.88 is: 972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.74 : 1,519.01 = 649.88 : x
  2. Step 2: Convert to fraction form
    1,014.74/1,519.01 = 649.88/x
  3. Step 3: Cross multiply
    1,014.74x = 1,519.01 × 649.88
  4. Step 4: Simplify right side
    1,014.74x = 987,170.97
  5. Step 5: Solve for x
    x = 987,170.97/1,014.74
  6. Step 6: Final answer
    x = 972.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.